Day: April 20, 2012

Music definition: The American Federation of Musicians defines arranging as “the art of preparing and adapting an already written composition for presentation in other than its original form. An arrangement may include reharmonization, paraphrasing, and/or development of a composition, so that it fully represents the melodic, harmonic, and rhythmic structure” (Corozine 2002, p. 3). Orchestration differs in that it is only adapting music for an orchestra or musical ensemble while arranging “involves adding compositional techniques, such as new thematic material for introductions, transitions, or modulations, and endings…Arranging is the art of giving an existing melody musical variety” (ibid).

Please post the direct URL (link) where your drawing, doodle, artwork is posted (e.g. your blog, Flickr) in the comments area of this post. I would really like to keep all the artwork together and provide a way for others to see your work and/or your blog, and how your work relates to the other responses.

Geometry Definition: In geometry and combinatorics, an arrangement of hyperplanes is a finite set A of hyperplanes in a linear, affine, or projective space S. Questions about a hyperplane arrangement A generally concern geometrical, topological, or other properties of the complement, M(A), which is the set that remains when the hyperplanes are removed from the whole space. One may ask how these properties are related to the arrangement and its intersection semilattice. The intersection semilattice of A, written L(A), is the set of all subspaces that are obtained by intersecting some of the hyperplanes; among these subspaces are S itself, all the individual hyperplanes, all intersections of pairs of hyperplanes, etc. (excluding, in the affine case, the empty set). These subspaces are called the flats of A. L(A) is partially ordered by reverse inclusion.

If the whole space S is 2-dimensional, the hyperplanes are lines; such an arrangement is often called an arrangement of lines. Historically, real arrangements of lines were the first arrangements investigated. If S is 3-dimensional one has an arrangement of planes.

The Creative Prompt Project, also, has a Flickr group, which you can join to post your responses. Are you already a member? I created that spot so those of you without blogs and websites would have a place to post your responses. Please join and look at all of the great artwork that people have posted.